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Least Common Multiple (LCM) of 104 and 175

The least common multiple (LCM) of 104 and 175 is 18200.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 104 and 175?

First, calculate the GCD of 104 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 175 = 0 remainder 104
2 175 ÷ 104 = 1 remainder 71
3 104 ÷ 71 = 1 remainder 33
4 71 ÷ 33 = 2 remainder 5
5 33 ÷ 5 = 6 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 10619822
49 and 1748526
19 and 1342546
12 and 106636
68 and 694692

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